19 citations · 74 across the 11 of their papers we have counts for
4 papers · 1 filter
Fractality and Lapidus zeta functions at infinity
Goran Radunović
We study fractality of unbounded sets of finite Lebesgue measure at infinity by introducing the notions of Minkowski dimension and content at infinity. We also introduce the Lapidu…
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We study meromorphic extensions of distance and tube zeta functions, as well as of geometric zeta functions of fractal strings. The distance zeta function $ζ_A(s):=\int_{A_δ} d(x,A…
Distance and tube zeta functions of fractals and arbitrary compact sets
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
Recently, the first author has extended the definition of the zeta function associated with fractal strings to arbitrary bounded subsets of the -dimensional Euclidean space…
Fractal zeta functions and complex dimensions: A general higher-dimensional theory
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
In 2009, the first author introduced a class of zeta functions, called `distance zeta functions', which has enabled us to extend the existing theory of zeta functions of fractal st…